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Finding the Third Proportional to 10,058 and 13,234

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Solution

The third proportional to 10,058 and 13,234 is: 17,412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058 : 13,234 = 13,234 : x
  2. Step 2: Convert to fraction form
    10,058/13,234 = 13,234/x
  3. Step 3: Cross multiply
    10,058x = 13,234 × 13,234
  4. Step 4: Simplify right side
    10,058x = 175,138,756
  5. Step 5: Solve for x
    x = 175,138,756/10,058
  6. Step 6: Final answer
    x = 17,412.88

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.